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Finding the Third Proportional to 72,305 and 156,677

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Solution

The third proportional to 72,305 and 156,677 is: 339,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,305 : 156,677 = 156,677 : x
  2. Step 2: Convert to fraction form
    72,305/156,677 = 156,677/x
  3. Step 3: Cross multiply
    72,305x = 156,677 × 156,677
  4. Step 4: Simplify right side
    72,305x = 24,547,682,329
  5. Step 5: Solve for x
    x = 24,547,682,329/72,305
  6. Step 6: Final answer
    x = 339,501.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.